H

Metabolic heat produced during exercise

W

Heat amount used to perform external work

R

Heat radiation

C

Conductive and convective heat

E

Evaporative heat loss

H

Heat storage

c

Tissue specific heat capacity

K

Tissue thermal conductivity

S(t)

Metabolic rate during exercise

L

Latent heat capacity

h

Combined heat transfer coefficient due to convection and radiation

$K_1$

Thermal conductivity of the epidermis layer

$K_2$

Thermal conductivity of the dermis layer

$K_3$

Thermal conductivity of the subcutaneous tissue

$c_1$

Specific heat capacity of epidermis layer

$c_2$

Specific heat capacity of dermis layer

$c_3$

Specific heat capacity of subcutaneous tissue

$l_1$

Thickness of epidermis layer

$l_2$

Thickness of epidermis and dermis layers

$l_3$

Total thickness of skin and subcutaneous tissue

$M_1$

Blood mass flow in epidermis layer

$M_2$

Blood mass flow in dermis layer

$M_3$

Blood mass flow in subcutaneous tissue

$S_1$

Metabolic rate in epidermis layer

$S_2$

Metabolic rate in dermis layer

$S_3$

Metabolic rate in subcutaneous tissue

$w_b$

Blood perfusion rate

$c_b$

Blood specific heat capacity

$\rho$

Tissue density

${\rho }_b$

Blood density

${\rho }_1$

Density of epidermis layer

${\rho }_2$

Density of dermis layer

${\rho }_3$

Density of subcutaneous tissue

$\Omega$

Domain of layered skin

$\beta$

Exercise controlled parameter

T

Tissue temperature

$T_A$

Arterial blood temperature

$T_{\infty }$

Ambient temperature

$T_b$

Body core temperature

$S_0$

Basal metabolic rate

E

Exercise threshold metabolism

t

Exercise time period

$t_{si}$

Sigmoid’s mid point of the curve over the time for extensive exercise